Subtract the first house number from hers:
221 - 13 = 208
Divide that by the difference between each number:
208/4 = 52
Now add the first house:
52 + 1 = 53
There are 53 houses
-2\8 = a negative so we will multiply
Answer:
2α^2+15α+21
Step-by-step explanation:
(5α+α²-14) + (10α +α²+ 35)
Combine like terms
α^2+α^2+5α+10α-14+35
2α^2+15α+21
Answer:
The length of the diagonal HJ is 10.82 units
Step-by-step explanation:
* Lets revise the rule of the distance between two points
-
, where
and
are the two points
* Lets use this rule to find the length of the diagonal HJ
∵ The coordinates of point H are (-4 , 3)
∵ The coordinates of point J are (5 , -3)
∴
and 
∴
and 
- Lets find the length of the diagonal HJ by using the rule above
∴ HJ = 
∴ HJ = 
∴ HJ = 10.82
* The length of the diagonal HJ is 10.82 units
Answer:
(c) $3,93 more
(b) Mr. Sánchez's class earned more money.
(a) ![\displaystyle [42, 37] → [j, p]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5B42%2C%2037%5D%20%E2%86%92%20%5Bj%2C%20p%5D)
Step-by-step explanation:
{79 = p + j
{118,17 = 1,65p + 1,36j
−25⁄34[118,17 = 1,65p + 1,36j]
{79 = p + j
{−86 121⁄136 = −1 29⁄136p - j >> New Equation
__________________________

[Plug this back into both equations above to get the j-value of 42]; 
The next step is to plug the solution into the BOTTOM EQUATION to calculate the total money earned for each class:
<u>Sánchez's class</u>
![\displaystyle 61,05 = [37][1,65]](https://tex.z-dn.net/?f=%5Cdisplaystyle%2061%2C05%20%3D%20%5B37%5D%5B1%2C65%5D)
Altogether, <em>thirty-seven</em> fruit pies cost $61,05.
<u>Kelly's</u><u> </u><u>class</u>
![\displaystyle 57,12 = [42][1,36]](https://tex.z-dn.net/?f=%5Cdisplaystyle%2057%2C12%20%3D%20%5B42%5D%5B1%2C36%5D)
Altogether, <em>forty-two</em> bottles of fruit juice cost $57,12.
* Based on the calculation, it is perfectly clear that Mr. Sánchez's class earned more money by $3,93:

I am delighted to assist you anytime my friend!